Abstract
In this paper we continue and extend a systematic study of plateaux in magnetization curves of antiferromagnetic Heisenberg spin-1/2 ladders. We first review a bosonic field-theoretical formulation of a single chain in the presence of a magnetic field, which is then used for an Abelian bosonization analysis of weakly coupled chains. Predictions for the universality classes of the phase transitions at the plateaux boundaries are obtained in addition to a quantization condition for the value of the magnetization on a plateau. These results are complemented by and checked against strong-coupling expansions. Finally, we analyze the strong-coupling effective Hamiltonian for an odd number of cylindrically coupled chains numerically. For we explicitly observe a spin gap with a massive spinon-type fundamental excitation and obtain indications that this gap probably survives the limit .
- Received 6 February 1998
DOI:https://doi.org/10.1103/PhysRevB.58.6241
©1998 American Physical Society